Enhanced Symmetries in Multiparameter Flux Vacua

TL;DR

This paper constructs type IIB flux vacua with discrete R-symmetries and zero superpotential across various hypersurfaces, linking their existence to modular group properties and geometric periods.

Contribution

It introduces a method to find flux vacua with special symmetries for hypersurfaces in weighted projective spaces, emphasizing the role of modular groups and geometric periods.

Findings

Existence of vacua depends on modular group properties.

For Fermat models, vacua existence is determined by weights.

Periods of geometry are in a vector space critical to construction.

Abstract

We give a construction of type IIB flux vacua with discrete R-symmetries and vanishing superpotential for hypersurfaces in weighted projective space with any number of moduli. We find that the existence of such vacua for a given space depends on properties of the modular group, and for Fermat models can be determined solely by the weights of the projective space. The periods of the geometry do not in general have arithmetic properties, but live in a vector space whose properties are vital to the construction.